COMPONENTS OF THE SPACE PARAMETRIZING GRADED GORENSTEIN ARTIN ALGEBRAS WITH A GIVEN HILBERT FUNCTION

@inproceedings{Boij1999COMPONENTSOT,
  title={COMPONENTS OF THE SPACE PARAMETRIZING GRADED GORENSTEIN ARTIN ALGEBRAS WITH A GIVEN HILBERT FUNCTION},
  author={Mats Boij},
  year={1999}
}
We give geometric constructions of families of graded Gorenstein Artin algebras, some of which span a component of the space Gor(T ) parametrizing Gorenstein Artin algebras with a given Hilbert function T . This gives a lot of examples where Gor(T ) is reducible. We also show that the Hilbert function of a codimension four Gorenstein Artin algebra can have an arbitrarily long constant part without having the weak Lefschetz property. In R = k[x;y] and in R = k[x;y;z], the parameter space Gor(T… CONTINUE READING